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Simplifying 4(2x + -3) + x = 6x + 9 Reorder the terms: 4(-3 + 2x) + x = 6x + 9 (-3 * 4 + 2x * 4) + x = 6x + 9 (-12 + 8x) + x = 6x + 9 Combine like terms: 8x + x = 9x -12 + 9x = 6x + 9 Reorder the terms: -12 + 9x = 9 + 6x Solving -12 + 9x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 9x + -6x = 9 + 6x + -6x Combine like terms: 9x + -6x = 3x -12 + 3x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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